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Finding the Fourth Proportional to 561,225.38, 774,462 and 306,527.36

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Solution

The fourth proportional to 561,225.38, 774,462 and 306,527.36 is: 422,991.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,225.38 : 774,462 = 306,527.36 : x
  2. Step 2: Convert to fraction form
    561,225.38/774,462 = 306,527.36/x
  3. Step 3: Cross multiply
    561,225.38x = 774,462 × 306,527.36
  4. Step 4: Simplify right side
    561,225.38x = 237,393,792,280.32
  5. Step 5: Solve for x
    x = 237,393,792,280.32/561,225.38
  6. Step 6: Final answer
    x = 422,991.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.